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Finding the Third Proportional to 135,966 and 210,009

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Solution

The third proportional to 135,966 and 210,009 is: 324,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966 : 210,009 = 210,009 : x
  2. Step 2: Convert to fraction form
    135,966/210,009 = 210,009/x
  3. Step 3: Cross multiply
    135,966x = 210,009 × 210,009
  4. Step 4: Simplify right side
    135,966x = 44,103,780,081
  5. Step 5: Solve for x
    x = 44,103,780,081/135,966
  6. Step 6: Final answer
    x = 324,373.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.